f be a real function such that f(x+y) =f(x)f(y). If f(1) = a, what is the valueof f(50) ?
Question
Solution 1
The function f(x+y) = f(x)f(y) is known as a Cauchy functional equation.
Given that f(1) = a, we can find the value of f(50) by using the property of the function repeatedly.
Step 1: We know that f(1) = a.
Step 2: We can express 50 as 1+1+1+...+1 (50 times).
Step 3: Using the property f(x+y) Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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